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<h1>&#x80FD;&#x91CF;&#x673A;&#x5173;&#x8BC6;&#x522B;&#x65B9;&#x6848;</h1>
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23&#x8D5B;&#x5B63;&#x80FD;&#x91CF;&#x673A;&#x5173;&#x4F7F;&#x7528;&#x4E86;&#x4F20;&#x7EDF;&#x7684;&#x4E00;&#x5957;&#x65B9;&#x6848;&#xFF0C;&#x5177;&#x4F53;&#x5212;&#x5206;&#x4E3A;&#x9884;&#x5904;&#x7406;&#x3001;&#x706F;&#x6761;&#x5206;&#x7C7B;&#x3001;&#x7B5B;&#x9009;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;&#x3001;&#x786E;&#x5B9A;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;&#x957F;&#x77ED;&#x8FB9;&#x3001;&#x627E; R &#x6807;&#x3001;&#x5BFB;&#x627E;&#x5F85;&#x51FB;&#x6253;&#x4E2D;&#x5FC3;&#x3001;&#x8BA1;&#x7B97;&#x5F85;&#x51FB;&#x6253;&#x88C5;&#x7532;&#x677F;&#x7684;&#x56DB;&#x4E2A;&#x89D2;&#x70B9;7&#x4E2A;&#x6B65;&#x9AA4;&#x3002;
<h2 class="mume-header" id="%E4%B8%80-%E9%A2%84%E5%A4%84%E7%90%86">&#x4E00;&#x3001;&#x9884;&#x5904;&#x7406;</h2>

<p>&#x5BF9;&#x4E8E;&#x4E00;&#x5E45;&#x91C7;&#x96C6;&#x5230;&#x7684;&#x4E09;&#x901A;&#x9053; RGB &#x56FE;&#x50CF;&#x8FDB;&#x884C;&#x901A;&#x9053;&#x76F8;&#x51CF;&#x548C;&#x4E8C;&#x503C;&#x5316;&#x5904;&#x7406;&#x3002;</p>
<p>&#x901A;&#x9053;&#x76F8;&#x51CF;&#x7684;&#x516C;&#x5F0F;&#x5982;&#x4E0B;&#xFF1A;</p>
<p><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi>V</mi><mi>a</mi><mi>l</mi><mo>=</mo><mi>R</mi><mo>&#x2212;</mo><mn>0.2</mn><mo>&#x2217;</mo><mi>G</mi><mo>&#x2212;</mo><mn>0.8</mn><mo>&#x2217;</mo><mi>B</mi><mspace width="2em"></mspace><mo stretchy="false">(</mo><mtext>&#x6211;&#x65B9;&#x4E3A;&#x7EA2;&#x65B9;</mtext><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">Val = R - 0.2*G - 0.8*B \qquad (&#x6211;&#x65B9;&#x4E3A;&#x7EA2;&#x65B9;)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">Va</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7667em;vertical-align:-0.0833em;"></span><span class="mord mathnormal" style="margin-right:0.00773em;">R</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0.2</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2217;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7667em;vertical-align:-0.0833em;"></span><span class="mord mathnormal">G</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0.8</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2217;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.05017em;">B</span><span class="mspace" style="margin-right:2em;"></span><span class="mopen">(</span><span class="mord cjk_fallback">&#x6211;&#x65B9;&#x4E3A;&#x7EA2;&#x65B9;</span><span class="mclose">)</span></span></span></span></span></p>
<p><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi>V</mi><mi>a</mi><mi>l</mi><mo>=</mo><mi>B</mi><mo>&#x2212;</mo><mn>0.2</mn><mo>&#x2217;</mo><mi>G</mi><mo>&#x2212;</mo><mn>0.8</mn><mo>&#x2217;</mo><mi>R</mi><mspace width="2em"></mspace><mo stretchy="false">(</mo><mtext>&#x6211;&#x65B9;&#x4E3A;&#x84DD;&#x65B9;</mtext><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">Val = B - 0.2*G - 0.8*R \qquad (&#x6211;&#x65B9;&#x4E3A;&#x84DD;&#x65B9;)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">Va</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7667em;vertical-align:-0.0833em;"></span><span class="mord mathnormal" style="margin-right:0.05017em;">B</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0.2</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2217;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7667em;vertical-align:-0.0833em;"></span><span class="mord mathnormal">G</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0.8</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2217;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.00773em;">R</span><span class="mspace" style="margin-right:2em;"></span><span class="mopen">(</span><span class="mord cjk_fallback">&#x6211;&#x65B9;&#x4E3A;&#x84DD;&#x65B9;</span><span class="mclose">)</span></span></span></span></span></p>
<p>&#x5176;&#x4E2D; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>R</mi></mrow><annotation encoding="application/x-tex">R</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.00773em;">R</span></span></span></span>,<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>G</mi></mrow><annotation encoding="application/x-tex">G</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal">G</span></span></span></span>,<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>B</mi></mrow><annotation encoding="application/x-tex">B</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.05017em;">B</span></span></span></span> &#x5206;&#x522B;&#x8868;&#x793A;&#x5404;&#x901A;&#x9053;&#x7684;&#x503C;&#xFF0C;<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>V</mi><mi>a</mi><mi>l</mi></mrow><annotation encoding="application/x-tex">Val</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">Va</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span></span></span></span> &#x8868;&#x793A;&#x5F97;&#x5230;&#x901A;&#x9053;&#x76F8;&#x51CF;&#x540E;&#x7684;&#x5355;&#x901A;&#x9053;&#x7684;&#x503C;&#x3002;</p>
<p>&#x968F;&#x540E;&#x8FDB;&#x884C;&#x4E8C;&#x503C;&#x5316;&#xFF0C;&#x8C03;&#x6574;&#x9608;&#x503C;&#x4F7F;&#x6700;&#x7EC8;&#x5F97;&#x5230;&#x7684;&#x4E8C;&#x503C;&#x5316;&#x56FE;&#x50CF;&#x5927;&#x81F4;&#x5982;&#x4E0B;&#xFF1A;</p>
<center>
<img src="../assets/rune_detector/ori.png" alt="&#x539F;&#x56FE;" width="40%">
<img src="../assets/rune_detector/binary.png" alt="&#x4E8C;&#x503C;&#x5316;&#x56FE;&#x50CF;">
</center>
<h2 class="mume-header" id="%E4%BA%8C-%E7%81%AF%E6%9D%A1%E5%88%86%E7%B1%BB">&#x4E8C;&#x3001;&#x706F;&#x6761;&#x5206;&#x7C7B;</h2>

<p>&#x901A;&#x8FC7;&#x4E8C;&#x503C;&#x5316;&#x56FE;&#x50CF;&#x63D0;&#x53D6;&#x51FA;&#x8F6E;&#x5ED3;&#xFF0C;&#x4F7F;&#x7528; SIMPLE &#x548C; EXTERNAL &#x9009;&#x9879;&#xFF0C;&#x5E76;&#x8FC7;&#x6EE4;&#x6389;&#x9762;&#x79EF;&#x5C0F;&#x4E8E; 100 &#x7684;&#x8F6E;&#x5ED3;&#xFF08;&#x4E3B;&#x8981;&#x662F;&#x4E00;&#x4E9B;&#x566A;&#x70B9;&#xFF09;&#x3002;&#x4E4B;&#x540E;&#x6839;&#x636E;&#x706F;&#x6761;&#x5927;&#x5C0F;&#x3001;&#x957F;&#x5BBD;&#x6BD4;&#x4F8B;&#x5206;&#x4E3A;&#x5706;&#x5F62;&#x706F;&#x6761;&#x3001;&#x5C0F;&#x706F;&#x6761;&#x3001;&#x5927;&#x706F;&#x6761;&#x3001;&#x5DE8;&#x578B;&#x706F;&#x6761;&#x56DB;&#x7C7B;&#x3002;&#x5982;&#x4E0B;&#x56FE;&#x6240;&#x793A;&#x3002;</p>
<p>(&#x9EC4;&#x8272;&#x4E3A;&#x5927;&#x8F6E;&#x5ED3;&#xFF0C;&#x84DD;&#x8272;&#x4E3A;&#x5C0F;&#x8F6E;&#x5ED3;&#xFF0C;&#x7EA2;&#x7D2B;&#x8272;&#x4E3A;&#x5DE8;&#x578B;&#x8F6E;&#x5ED3;&#xFF0C;&#x5706;&#x5F62;&#x8F6E;&#x5ED3;&#x4E0D;&#x660E;&#x663E;)</p>
<img src="../assets/rune_detector/final_detector.png" alt="&#x706F;&#x6761;&#x5206;&#x7C7B;">
<p>&#x5206;&#x7C7B;&#x903B;&#x8F91;&#xFF1A;</p>
<ul>
<li>&#x5C0F;&#x706F;&#x6761;&#xFF1A;&#x706F;&#x6761;&#x957F;&#x5BBD;&#x6BD4;&#x5728;&#x4E00;&#x5B9A;&#x533A;&#x95F4;&#x5185;&#xFF0C;&#x4E14;&#x706F;&#x6761;&#x957F;&#x5EA6;&#xFF08;&#x957F;&#x8FB9;&#xFF09;&#x5728;&#x7ED9;&#x5B9A;&#x7684;&#x533A;&#x95F4;&#x5185;</li>
<li>&#x5927;&#x706F;&#x6761;&#xFF1A;&#x706F;&#x6761;&#x957F;&#x5BBD;&#x6BD4;&#x5728;&#x4E00;&#x5B9A;&#x533A;&#x95F4;&#x5185;&#xFF0C;&#x4E14;&#x706F;&#x6761;&#x5BBD;&#x5EA6;&#xFF08;&#x77ED;&#x8FB9;&#xFF09;&#x5728;&#x7ED9;&#x5B9A;&#x7684;&#x533A;&#x95F4;&#x5185;&#x3002;&#x8BE5;&#x533A;&#x95F4;&#x4E0E;&#x5C0F;&#x706F;&#x6761;&#x957F;&#x8FB9;&#x533A;&#x95F4;&#x76F8;&#x540C;&#x3002;</li>
<li>&#x5DE8;&#x578B;&#x706F;&#x6761;&#xFF1A;&#x706F;&#x6761;&#x957F;&#x5BBD;&#x6BD4;&#x5728;&#x4E00;&#x5B9A;&#x533A;&#x95F4;&#x5185;&#xFF0C;&#x4E14;&#x706F;&#x6761;&#x957F;&#x5EA6;&#x5728;&#x7ED9;&#x5B9A;&#x7684;&#x533A;&#x95F4;&#x5185;</li>
<li>&#x5706;&#x5F62;&#x706F;&#x6761;&#xFF1A;&#x706F;&#x6761;&#x957F;&#x5BBD;&#x6BD4;&#x5C0F;&#x4E8E;&#x4E00;&#x4E2A;&#x6570;&#x503C;&#xFF08;&#x53D6; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>1.2</mn></mrow><annotation encoding="application/x-tex">1.2</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">1.2</span></span></span></span>&#xFF09;&#xFF0C;&#x4E14;&#x9762;&#x79EF;&#x5C0F;&#x4E8E;&#x4E00;&#x5B9A;&#x7684;&#x503C;&#x3002;</li>
</ul>
<p>&#x5BF9;&#x4E8E;&#x6BD4;&#x4F8B;&#x76F8;&#x5173;&#x7684;&#x533A;&#x95F4;&#xFF0C;&#x91C7;&#x7528;&#x7684;&#x662F;&#x4E0A;&#x4E0B;&#x9650;&#x65B9;&#x5F0F;&#x3002;&#x5373;&#x5BF9;&#x4E8E;&#x6BCF;&#x4E2A;&#x706F;&#x6761;&#xFF0C;&#x4F7F;&#x7528;&#x4E24;&#x4E2A;&#x53C2;&#x6570;&#x5206;&#x522B;&#x786E;&#x5B9A;&#x6700;&#x5C0F;&#x6BD4;&#x4F8B;&#x548C;&#x6700;&#x5927;&#x6BD4;&#x4F8B;&#x3002;</p>
<p>&#x5BF9;&#x4E8E;&#x957F;&#x5EA6;&#x76F8;&#x5173;&#x7684;&#x533A;&#x95F4;&#xFF0C;&#x91C7;&#x7528;&#x5747;&#x503C;+&#x8BEF;&#x5DEE;&#x7684;&#x65B9;&#x5F0F;&#x3002;&#x4E5F;&#x662F;&#x4F7F;&#x7528;&#x4E24;&#x4E2A;&#x53C2;&#x6570;&#xFF0C;&#x5176;&#x4E2D;&#x4E00;&#x4E2A;&#x53C2;&#x6570;&#x8868;&#x793A;&#x706F;&#x6761;&#x7684;&#x4E00;&#x822C;&#x957F;&#x5EA6;,&#x8BBE;&#x4E3A; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>&#x3BC;</mi></mrow><annotation encoding="application/x-tex">\mu</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">&#x3BC;</span></span></span></span>&#xFF0C;&#x53E6;&#x4E00;&#x4E2A;&#x53C2;&#x6570;&#x8868;&#x793A;&#x957F;&#x5EA6;&#x8BEF;&#x5DEE;&#xFF0C;&#x53D6;&#x503C;&#x8303;&#x56F4;&#x4E3A; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mn>0</mn><mo separator="true">,</mo><mn>1</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(0,1)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord">0</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">1</span><span class="mclose">)</span></span></span></span>&#xFF0C;&#x8BBE;&#x4E3A; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>&#x3C3;</mi></mrow><annotation encoding="application/x-tex">\sigma</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.4306em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">&#x3C3;</span></span></span></span>&#x3002;&#x7531;&#x6B64;&#x786E;&#x5B9A;&#x7684;&#x957F;&#x5EA6;&#x533A;&#x95F4;&#x4E3A; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">[</mo><mi>&#x3BC;</mi><mo stretchy="false">(</mo><mn>1</mn><mo>&#x2212;</mo><mi>&#x3C3;</mi><mo stretchy="false">)</mo><mo separator="true">,</mo><mi>&#x3BC;</mi><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>&#x3C3;</mi><mo stretchy="false">)</mo><mo stretchy="false">]</mo></mrow><annotation encoding="application/x-tex">[\mu(1-\sigma),\mu(1+\sigma)]</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">[</span><span class="mord mathnormal">&#x3BC;</span><span class="mopen">(</span><span class="mord">1</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">&#x3C3;</span><span class="mclose">)</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal">&#x3BC;</span><span class="mopen">(</span><span class="mord">1</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">&#x3C3;</span><span class="mclose">)]</span></span></span></span>&#x3002;</p>
<blockquote>
<p>&#x6CE8;&#xFF1A;&#x4E3A;&#x907F;&#x514D;&#x9519;&#x8BEF;&#x5206;&#x7C7B;&#xFF0C;&#x4E0D;&#x540C;&#x7C7B;&#x578B;&#x706F;&#x6761;&#x7684;&#x957F;&#x5BBD;&#x6BD4;&#x533A;&#x95F4;&#x6700;&#x597D;&#x4E0D;&#x8981;&#x5B58;&#x5728;&#x4EA4;&#x96C6;&#x3002;&#x82E5;&#x4E0D;&#x53EF;&#x907F;&#x514D;&#x5730;&#x5B58;&#x5728;&#x4EA4;&#x96C6;&#xFF0C;&#x5219;&#x5E94;&#x5F53;&#x4FDD;&#x8BC1;&#x706F;&#x6761;&#x957F;&#x5EA6;&#x7684;&#x53D6;&#x503C;&#x6709;&#x7740;&#x8F83;&#x5927;&#x7684;&#x5DEE;&#x8DDD;&#x3002;</p>
</blockquote>
<h2 class="mume-header" id="%E4%B8%89-%E7%AD%9B%E9%80%89%E5%BE%85%E5%87%BB%E6%89%93%E6%89%87%E5%8F%B6">&#x4E09;&#x3001;&#x7B5B;&#x9009;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;</h2>

<p>&#x5F53;&#x524D;&#x89C4;&#x5219;&#x4E0B;&#xFF0C;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;&#x5B58;&#x5728;&#x4E8E;&#x5DE8;&#x578B;&#x706F;&#x6761;&#x4E2D;&#x3002;&#x540C;&#x5C5E;&#x4E8E;&#x5DE8;&#x578B;&#x706F;&#x6761;&#x7684;&#x6247;&#x53F6;&#x8FD8;&#x6709;&#x4F4E;&#x73AF;&#x6570;&#x7684;&#x5DF2;&#x6FC0;&#x6D3B;&#x6247;&#x53F6;&#x548C; 10 &#x73AF;&#x7684;&#x5DF2;&#x6FC0;&#x6D3B;&#x6247;&#x53F6;&#x3002;&#x56E0;&#x6B64;&#x8FD9;&#x4E00;&#x6B65;&#x9AA4;&#x672C;&#x8D28;&#x4E0A;&#x662F;&#x5C06;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;&#x548C;&#x4F4E;&#x73AF;&#x6570;&#x3001;10 &#x73AF;&#x6247;&#x53F6;&#x533A;&#x5206;&#x5F00;&#x3002;</p>
<p>&#x5728;&#x8FD9;&#x91CC;&#xFF0C;&#x4F7F;&#x7528;&#x5F85;&#x6FC0;&#x6D3B;&#x548C;&#x5DF2;&#x6FC0;&#x6D3B;&#x6247;&#x53F6;&#x7684;&#x6247;&#x81C2;&#x4E0D;&#x540C;&#x70B9;&#x6765;&#x533A;&#x5206;&#x3002;&#x5177;&#x4F53;&#x5730;&#xFF0C;&#x5BF9;&#x4E8E;&#x5F85;&#x6FC0;&#x6D3B;&#x6247;&#x53F6;&#xFF0C;&#x5B83;&#x7684;&#x8F6E;&#x5ED3;&#x9762;&#x79EF;&#x548C;&#x5916;&#x63A5;&#x65CB;&#x8F6C;&#x77E9;&#x5F62;&#x7684;&#x9762;&#x79EF;&#x76F8;&#x5DEE;&#x8F83;&#x5927;&#xFF0C;&#x800C;&#x5DF2;&#x6FC0;&#x6D3B;&#x6247;&#x53F6;&#x7684;&#x8F6E;&#x5ED3;&#x9762;&#x79EF;&#x548C;&#x5916;&#x63A5;&#x65CB;&#x8F6C;&#x77E9;&#x5F62;&#x7684;&#x9762;&#x79EF;&#x76F8;&#x5DEE;&#x8F83;&#x5C0F;&#x3002;&#x6839;&#x636E;&#x8FD9;&#x4E00;&#x7279;&#x70B9;&#xFF0C;&#x5B9A;&#x4E49;&#x6BD4;&#x503C; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>V</mi><mo>=</mo><mfrac><msub><mi>S</mi><mtext>&#x8F6E;&#x5ED3;&#x9762;&#x79EF;</mtext></msub><msub><mi>S</mi><mtext>&#x65CB;&#x8F6C;&#x77E9;&#x5F62;&#x9762;&#x79EF;</mtext></msub></mfrac></mrow><annotation encoding="application/x-tex">V=\frac{S_{&#x8F6E;&#x5ED3;&#x9762;&#x79EF;}}{S_{&#x65CB;&#x8F6C;&#x77E9;&#x5F62;&#x9762;&#x79EF;}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.22222em;">V</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.3339em;vertical-align:-0.4453em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8886em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.05764em;">S</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3448em;"><span style="top:-2.3567em;margin-left:-0.0576em;margin-right:0.0714em;"><span class="pstrut" style="height:2.5em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight"><span class="mord cjk_fallback mtight">&#x65CB;&#x8F6C;&#x77E9;&#x5F62;&#x9762;&#x79EF;</span></span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.1433em;"><span></span></span></span></span></span></span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.4103em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.05764em;">S</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3448em;"><span style="top:-2.3567em;margin-left:-0.0576em;margin-right:0.0714em;"><span class="pstrut" style="height:2.5em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight"><span class="mord cjk_fallback mtight">&#x8F6E;&#x5ED3;&#x9762;&#x79EF;</span></span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.1433em;"><span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.4453em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span>&#x3002;&#x82E5; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>V</mi></mrow><annotation encoding="application/x-tex">V</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.22222em;">V</span></span></span></span> &#x5C0F;&#x4E8E;&#x4E00;&#x4E2A;&#x7ED9;&#x5B9A;&#x9608;&#x503C;&#xFF0C;&#x5219;&#x8BA4;&#x4E3A;&#x8BE5;&#x6247;&#x53F6;&#x4E3A;&#x5F85;&#x6FC0;&#x6D3B;&#x6247;&#x53F6;&#x3002;&#x6839;&#x636E;&#x672C;&#x8D5B;&#x5B63;&#x7684;&#x7B26;&#x7684;&#x6837;&#x5F0F;&#xFF0C;&#x8C03;&#x51FA;&#x6765;&#x7684;&#x9608;&#x503C;&#x5927;&#x5C0F;&#x4E3A; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>0.68</mn></mrow><annotation encoding="application/x-tex">0.68</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0.68</span></span></span></span></p>
<img src="../assets/rune_detector/tb_over_diff.png" alt="&#x5F85;&#x6FC0;&#x6D3B;&#x6247;&#x53F6;&#x548C;&#x5DF2;&#x6FC0;&#x6D3B;&#x6247;&#x53F6;&#x7684;&#x8F6E;&#x5ED3;&#x4E0E;&#x5916;&#x63A5;&#x65CB;&#x8F6C;&#x77E9;&#x5F62;&#x793A;&#x610F;&#x56FE;&#xFF08;&#x539F;&#x56FE;&#x57FA;&#x7840;&#x4E0A;&#x5904;&#x7406;&#xFF09;">
<center>
&#x5F85;&#x6FC0;&#x6D3B;&#x6247;&#x53F6;&#x548C;&#x5DF2;&#x6FC0;&#x6D3B;&#x6247;&#x53F6;&#x3002;&#x7EFF;&#x8272;&#x4E3A;&#x8F6E;&#x5ED3;&#x9762;&#x79EF;&#xFF0C;&#x84DD;&#x8272;&#x4E3A;&#x5916;&#x63A5;&#x65CB;&#x8F6C;&#x77E9;&#x5F62;&#x9762;&#x79EF;
</center>
<h2 class="mume-header" id="%E5%9B%9B-%E7%A1%AE%E5%AE%9A%E5%BE%85%E5%87%BB%E6%89%93%E6%89%87%E5%8F%B6%E7%9A%84%E9%95%BF%E7%9F%AD%E8%BE%B9">&#x56DB;&#x3001;&#x786E;&#x5B9A;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;&#x7684;&#x957F;&#x77ED;&#x8FB9;</h2>

<p>&#x6247;&#x53F6;&#x6700;&#x7EC8;&#x662F;&#x5229;&#x7528; OpenCV &#x4E2D;&#x7684; cv::RotatedRect &#x6570;&#x636E;&#x7ED3;&#x6784;&#x8FDB;&#x884C;&#x63CF;&#x8FF0;&#x3002;&#x901A;&#x8FC7;&#x83B7;&#x5F97;&#x65CB;&#x8F6C;&#x77E9;&#x5F62;&#x7684;&#x56DB;&#x4E2A;&#x89D2;&#x70B9;&#x786E;&#x5B9A;&#x4E24;&#x4E24;&#x76F8;&#x90BB;&#x7684;&#x70B9;&#x5C5E;&#x4E8E;&#x957F;&#x8FB9;&#x8FD8;&#x662F;&#x77ED;&#x8FB9;&#x3002;&#x7531;&#x4E8E;&#x56DB;&#x4E2A;&#x89D2;&#x70B9;&#x662F;&#x6309;&#x7167;&#x9006;&#x65F6;&#x9488;&#x8FDE;&#x7EED;&#x7F16;&#x53F7;&#x7684;&#xFF0C;&#x56E0;&#x6B64;&#x53EA;&#x6709;&#x4E24;&#x79CD;&#x60C5;&#x51B5;&#xFF0C;&#x5206;&#x522B;&#x79F0;&#x4E4B;&#x4E3A; 01&#x957F; &#x548C; 01&#x77ED;&#x3002;&#x5982;&#x4E0B;&#x56FE;</p>
<div align="center">
<img src="../assets/rune_detector/01short1.png" width="40%">
<img src="../assets/rune_detector/01short2.png" width="40%">
<p>01 &#x7AEF;&#x70B9;&#x4E3A;&#x77ED;&#x8FB9;&#x7684;&#x60C5;&#x51B5;</p>
<img src="../assets/rune_detector/01long1.png" width="40%">
<img src="../assets/rune_detector/01long2.png" width="40%">
<p>01 &#x7AEF;&#x70B9;&#x4E3A;&#x957F;&#x8FB9;&#x7684;&#x60C5;&#x51B5;</p>
</div>
<h2 class="mume-header" id="%E4%BA%94-%E6%89%BE-r-%E6%A0%87%E5%B0%86%E5%BE%85%E5%87%BB%E6%89%93%E6%89%87%E5%8F%B6%E7%9A%84%E8%A7%92%E7%82%B9%E6%8C%89%E9%A1%BA%E5%BA%8F%E7%BC%96%E5%8F%B7">&#x4E94;&#x3001;&#x627E; R &#x6807;&#xFF0C;&#x5C06;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;&#x7684;&#x89D2;&#x70B9;&#x6309;&#x987A;&#x5E8F;&#x7F16;&#x53F7;</h2>

<h3 class="mume-header" id="51-%E6%89%BE-r-%E6%A0%87">5.1 &#x627E; R &#x6807;</h3>

<p>&#x5728;&#x6240;&#x6709;&#x7684;&#x5706;&#x5F62;&#x706F;&#x6761;&#x4E2D;&#x5BFB;&#x627E; R &#x6807;&#x3002;&#x5706;&#x5F62;&#x706F;&#x6761;&#x5305;&#x62EC;&#x771F;&#x5B9E; R &#x6807;&#x548C;&#x5DF2;&#x6FC0;&#x6D3B;&#x7684;&#x4E2D;&#x9AD8;&#x73AF;&#x6570;&#x7684;&#x9776;&#x6807;&#x3002;&#x56E0;&#x6B64;&#x8FD9;&#x4E00;&#x6B65;&#x7684;&#x76EE;&#x7684;&#x662F;&#x5C06;&#x771F;&#x5B9E; R &#x6807;&#x4E0E;&#x9776;&#x6807;&#x533A;&#x5206;&#x5F00;&#x6765;&#x3002;</p>
<p>&#x8FD9;&#x4E00;&#x6B65;&#x7684;&#x5177;&#x4F53;&#x505A;&#x6CD5;&#x4E3A;&#xFF1A;&#x904D;&#x5386;&#x6240;&#x6709;&#x7684;&#x5706;&#x5F62;&#x8F6E;&#x5ED3;&#xFF0C;&#x5E76;&#x8FC7;&#x5706;&#x5F62;&#x8F6E;&#x5ED3;&#x7684;&#x4E2D;&#x5FC3;&#x505A;&#x4E0E;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;&#x5176;&#x4E2D;&#x4E00;&#x6761;&#x77ED;&#x8FB9;&#x7684;&#x5782;&#x7EBF;&#x3002;&#x82E5;&#x8BE5;&#x5782;&#x7EBF;&#x4E0E;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;&#x7684;&#x53E6;&#x4E00;&#x6761;&#x77ED;&#x8FB9;&#x76F8;&#x4EA4;&#xFF0C;&#x5219;&#x8BA4;&#x4E3A;&#x8BE5;&#x8F6E;&#x5ED3;&#x5C5E;&#x4E8E; R &#x6807;&#x3002;&#x5426;&#x5219;&#x7EE7;&#x7EED;&#x904D;&#x5386;&#x4E0B;&#x4E00;&#x4E2A;&#x5706;&#x5F62;&#x8F6E;&#x5ED3;&#x3002;</p>
<p>&#x5982;&#x679C;&#x6700;&#x7EC8;&#x6CA1;&#x6709;&#x627E;&#x5230;&#x5408;&#x9002;&#x7684; R &#x6807;&#xFF0C;&#x5219;&#x8BA4;&#x4E3A;&#x8BC6;&#x522B;&#x5931;&#x8D25;&#x3002;</p>
<p>&#x8BE5;&#x65B9;&#x6CD5;&#x53EF;&#x901A;&#x8FC7;&#x4EE5;&#x4E0B;&#x793A;&#x610F;&#x56FE;&#x66F4;&#x52A0;&#x76F4;&#x89C2;&#x4E86;&#x89E3;&#xFF1A;</p>
<center>
<img src="../assets/rune_detector/correct_r.png" width="40%">
<img src="../assets/rune_detector/error_r.png" width="40%">
<p>&#x5DE6;&#x4FA7;&#x4E3A;&#x9009;&#x62E9;&#x5230;&#x6B63;&#x786E;&#x7684; R &#x6807;&#x65F6;&#x7684;&#x60C5;&#x51B5;&#xFF0C;&#x53F3;&#x8FB9;&#x4E3A;&#x9009;&#x62E9;&#x5230;&#x9519;&#x8BEF; R &#x6807;&#x65F6;&#x7684;&#x60C5;&#x51B5;</p>
<p>&#x84DD;&#x8272;&#x5B9E;&#x7EBF;&#x4E3A;&#x7B2C;&#x4E00;&#x6761;&#x77ED;&#x8FB9;&#xFF0C;&#x84DD;&#x8272;&#x865A;&#x7EBF;&#x4E3A;&#x7B2C;&#x4E8C;&#x6761;&#x77ED;&#x8FB9;&#xFF0C;&#x7EFF;&#x8272;&#x4E3A;&#x6240;&#x4F5C;&#x51FA;&#x6765;&#x7684;&#x5782;&#x7EBF;</p>
</center>
<p>&#x8FD9;&#x5176;&#x4E2D;&#x6D89;&#x53CA;&#x51E0;&#x4E2A;&#x6570;&#x5B66;&#x95EE;&#x9898;&#xFF0C;&#x5177;&#x4F53;&#x5982;&#x4E0B;&#xFF1A;</p>
<p>&#xFF08;&#x5EFA;&#x8BAE;&#x5148;&#x53EA;&#x770B;&#x6807;&#x9898;&#xFF0C;&#x81EA;&#x5DF1;&#x72EC;&#x7ACB;&#x601D;&#x8003;&#x4E00;&#x4E0B;&#x600E;&#x4E48;&#x8BBE;&#x8BA1;&#x7B97;&#x6CD5;&#x3002; &#x1F601;&#xFF09;</p>
<h4 class="mume-header" id="511-%E8%BF%87%E4%B8%80%E4%B8%AA%E7%82%B9%E5%81%9A%E4%B8%80%E6%9D%A1%E7%9B%B4%E7%BA%BF%E7%9A%84%E5%9E%82%E7%BA%BF">5.1.1 &#x8FC7;&#x4E00;&#x4E2A;&#x70B9;&#x505A;&#x4E00;&#x6761;&#x76F4;&#x7EBF;&#x7684;&#x5782;&#x7EBF;</h4>

<p>&#x5047;&#x8BBE;&#x8BE5;&#x76F4;&#x7EBF;&#x8FC7;&#x4E24;&#x70B9; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><msub><mi>x</mi><mn>1</mn></msub><mo separator="true">,</mo><msub><mi>y</mi><mn>1</mn></msub><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(x_1,y_1)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mclose">)</span></span></span></span> &#x548C; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><msub><mi>x</mi><mn>2</mn></msub><mo separator="true">,</mo><msub><mi>y</mi><mn>2</mn></msub><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(x_2,y_2)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mclose">)</span></span></span></span>&#xFF0C;&#x8FC7;&#x7684;&#x70B9;&#x4E3A; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><msub><mi>x</mi><mn>0</mn></msub><mo separator="true">,</mo><msub><mi>y</mi><mn>0</mn></msub><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(x_0,y_0)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">0</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">0</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mclose">)</span></span></span></span>&#xFF1B;&#x8BBE;&#x8BE5;&#x5782;&#x7EBF;&#x7684;&#x65B9;&#x7A0B;&#x4E3A; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>y</mi><mo>&#x2212;</mo><msub><mi>k</mi><mrow><mi>v</mi><mi>e</mi><mi>l</mi></mrow></msub><mi>x</mi><mo>&#x2212;</mo><mi>b</mi><mo>=</mo><mn>0</mn></mrow><annotation encoding="application/x-tex">y-k_{vel}x-b=0</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8444em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3361em;"><span style="top:-2.55em;margin-left:-0.0315em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.03588em;">v</span><span class="mord mathnormal mtight">e</span><span class="mord mathnormal mtight" style="margin-right:0.01968em;">l</span></span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">b</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0</span></span></span></span></p>
<p>&#x9996;&#x5148;&#x8BA1;&#x7B97;&#x76F4;&#x7EBF;&#x7684;&#x659C;&#x7387;&#xFF1A;</p>
<p><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi>k</mi><mo>=</mo><mfrac><mrow><msub><mi>y</mi><mn>2</mn></msub><mo>&#x2212;</mo><msub><mi>y</mi><mn>1</mn></msub></mrow><mrow><msub><mi>x</mi><mn>2</mn></msub><mo>&#x2212;</mo><msub><mi>x</mi><mn>1</mn></msub></mrow></mfrac></mrow><annotation encoding="application/x-tex">k=\frac{y_2-y_1}{x_2-x_1}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:2.0963em;vertical-align:-0.836em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.2603em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.836em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p>
<p>&#x5176;&#x6B21;&#x8BA1;&#x7B97;&#x5782;&#x7EBF;&#x7684;&#x659C;&#x7387; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>k</mi><mrow><mi>v</mi><mi>e</mi><mi>l</mi></mrow></msub></mrow><annotation encoding="application/x-tex">k_{vel}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8444em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3361em;"><span style="top:-2.55em;margin-left:-0.0315em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.03588em;">v</span><span class="mord mathnormal mtight">e</span><span class="mord mathnormal mtight" style="margin-right:0.01968em;">l</span></span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span>&#xFF1A;</p>
<p><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><msub><mi>k</mi><mrow><mi>v</mi><mi>e</mi><mi>r</mi></mrow></msub><mo>=</mo><mo>&#x2212;</mo><mfrac><mn>1</mn><mi>k</mi></mfrac></mrow><annotation encoding="application/x-tex">k_{ver}=-\frac{1}{k}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8444em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em;"><span style="top:-2.55em;margin-left:-0.0315em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.03588em;">v</span><span class="mord mathnormal mtight" style="margin-right:0.02778em;">er</span></span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:2.0074em;vertical-align:-0.686em;"></span><span class="mord">&#x2212;</span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.3214em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03148em;">k</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p>
<p>&#x6700;&#x540E;&#x786E;&#x5B9A; b &#xFF1A;</p>
<p><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi>b</mi><mo>=</mo><msub><mi>y</mi><mn>0</mn></msub><mo>&#x2212;</mo><msub><mi>k</mi><mrow><mi>v</mi><mi>e</mi><mi>l</mi></mrow></msub><msub><mi>x</mi><mn>0</mn></msub></mrow><annotation encoding="application/x-tex">b=y_0-k_{vel}x_0</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">b</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.1944em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">0</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8444em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3361em;"><span style="top:-2.55em;margin-left:-0.0315em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.03588em;">v</span><span class="mord mathnormal mtight">e</span><span class="mord mathnormal mtight" style="margin-right:0.01968em;">l</span></span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">0</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></span></p>
<p>&#x53E6;&#x5916;&#xFF0C;&#x5728;&#x5B9E;&#x9645;&#x573A;&#x666F;&#x4E2D;&#xFF0C;&#x9700;&#x8981;&#x8003;&#x8651;&#x5230;&#x659C;&#x7387; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>k</mi></mrow><annotation encoding="application/x-tex">k</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal" style="margin-right:0.03148em;">k</span></span></span></span> &#x65E0;&#x7A77;&#x5927;&#x548C;&#x7B49;&#x4E8E; 0 &#x7684;&#x60C5;&#x51B5;&#xFF0C;&#x9700;&#x8981;&#x5BF9;&#x8FD9;&#x4E9B;&#x60C5;&#x51B5;&#x8FDB;&#x884C;&#x7279;&#x6B8A;&#x5904;&#x7406;&#x3002;</p>
<h4 class="mume-header" id="512-%E5%88%A4%E6%96%AD%E4%B8%80%E6%9D%A1%E7%9B%B4%E7%BA%BF%E6%98%AF%E5%90%A6%E7%A9%BF%E8%BF%87%E4%B8%80%E6%9D%A1%E7%BA%BF%E6%AE%B5">5.1.2 &#x5224;&#x65AD;&#x4E00;&#x6761;&#x76F4;&#x7EBF;&#x662F;&#x5426;&#x7A7F;&#x8FC7;&#x4E00;&#x6761;&#x7EBF;&#x6BB5;</h4>

<p>&#x5047;&#x8BBE;&#x76F4;&#x7EBF;&#x65B9;&#x7A0B;&#x4E3A; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>y</mi><mo>&#x2212;</mo><mi>k</mi><mi>x</mi><mo>&#x2212;</mo><mi>b</mi><mo>=</mo><mn>0</mn></mrow><annotation encoding="application/x-tex">y-kx-b=0</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">b</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0</span></span></span></span>&#xFF0C;&#x7EBF;&#x6BB5;&#x7684;&#x4E24;&#x4E2A;&#x7AEF;&#x70B9;&#x5206;&#x522B;&#x4E3A; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><msub><mi>x</mi><mn>1</mn></msub><mo separator="true">,</mo><msub><mi>y</mi><mn>1</mn></msub><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(x_1,y_1)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mclose">)</span></span></span></span>&#xFF0C;<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><msub><mi>x</mi><mn>2</mn></msub><mo separator="true">,</mo><msub><mi>y</mi><mn>2</mn></msub><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(x_2,y_2)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mclose">)</span></span></span></span>&#x3002;</p>
<p>&#x82E5;&#x76F4;&#x7EBF;&#x8981;&#x7A7F;&#x8FC7;&#x7EBF;&#x6BB5;&#xFF0C;&#x5219;&#x7EBF;&#x6BB5;&#x7684;&#x4E24;&#x4E2A;&#x7AEF;&#x70B9;&#x5FC5;&#x987B;&#x5728;&#x76F4;&#x7EBF;&#x7684;&#x4E0D;&#x540C;&#x4FA7;&#x3002;&#x8BBE;&#x51FD;&#x6570; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo separator="true">,</mo><mi>y</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">f(x,y)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mclose">)</span></span></span></span> &#x7684;&#x8868;&#x8FBE;&#x5F0F;&#x4E3A;&#xFF1A;</p>
<p><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo separator="true">,</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><mi>y</mi><mo>&#x2212;</mo><mi>k</mi><mi>x</mi><mo>&#x2212;</mo><mi>b</mi></mrow><annotation encoding="application/x-tex">f(x,y)=y-kx-b</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">&#x2212;</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">b</span></span></span></span></span></p>
<p>&#x90A3;&#x4E48;&#x5F53;&#x76F4;&#x7EBF;&#x7A7F;&#x8FC7;&#x7EBF;&#x6BB5;&#x65F6;&#xFF0C;&#x6709;&#xFF1A;</p>
<p><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi>f</mi><mo stretchy="false">(</mo><msub><mi>x</mi><mn>1</mn></msub><mo separator="true">,</mo><msub><mi>y</mi><mn>1</mn></msub><mo stretchy="false">)</mo><mi>f</mi><mo stretchy="false">(</mo><msub><mi>x</mi><mn>2</mn></msub><mo separator="true">,</mo><msub><mi>y</mi><mn>2</mn></msub><mo stretchy="false">)</mo><mo>&lt;</mo><mn>0</mn></mrow><annotation encoding="application/x-tex">f(x_1,y_1)f(x_2,y_2)&lt;0</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mclose">)</span><span class="mord mathnormal" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0</span></span></span></span></span></p>
<p>&#x5373;&#xFF0C;&#x53EF;&#x4EE5;&#x901A;&#x8FC7; <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo separator="true">,</mo><mi>y</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">f(x,y)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mclose">)</span></span></span></span> &#x5728;&#x4E24;&#x4E2A;&#x7AEF;&#x70B9;&#x4E0A;&#x7684;&#x503C;&#x7684;&#x79EF;&#x7684;&#x7B26;&#x53F7;&#x6765;&#x5224;&#x65AD;&#x76F4;&#x7EBF;&#x662F;&#x5426;&#x4E0E;&#x7EBF;&#x6BB5;&#x76F8;&#x4EA4;&#x3002;&#x82E5;&#x79EF;&#x5927;&#x4E8E; 0 &#xFF0C;&#x5219;&#x8868;&#x793A;&#x4E24;&#x4E2A;&#x7AEF;&#x70B9;&#x5728;&#x76F4;&#x7EBF;&#x7684;&#x540C;&#x4FA7;&#xFF0C;&#x76F4;&#x7EBF;&#x4E0E;&#x7EBF;&#x6BB5;&#x4E0D;&#x76F8;&#x4EA4;&#xFF1B;&#x82E5;&#x79EF;&#x5C0F;&#x4E8E; 0&#xFF0C;&#x5219;&#x8868;&#x793A;&#x4E24;&#x4E2A;&#x7AEF;&#x70B9;&#x5728;&#x76F4;&#x7EBF;&#x7684;&#x5F02;&#x6D4B;&#xFF0C;&#x76F4;&#x7EBF;&#x4E0E;&#x7EBF;&#x6BB5;&#x76F8;&#x4EA4;&#x3002;</p>
<h3 class="mume-header" id="52-%E5%B0%86%E5%BE%85%E5%87%BB%E6%89%93%E6%89%87%E5%8F%B6%E7%9A%84%E8%A7%92%E7%82%B9%E6%8C%89%E9%A1%BA%E5%BA%8F%E7%BC%96%E5%8F%B7">5.2 &#x5C06;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;&#x7684;&#x89D2;&#x70B9;&#x6309;&#x987A;&#x5E8F;&#x7F16;&#x53F7;</h3>

<p>&#x56DB;&#x4E2A;&#x89D2;&#x70B9;&#x7684;&#x987A;&#x5E8F;&#x89C4;&#x5B9A;&#x4E3A;&#xFF1A;&#x5F53;&#x6247;&#x53F6;&#x7684;&#x89D2;&#x5EA6;&#x4E3A; 0 &#x5EA6;&#x65F6;&#xFF08;&#x5728; R &#x6807;&#x7684;&#x6B63;&#x53F3;&#x65B9;&#xFF09;&#xFF0C;&#x4ECE;&#x5DE6;&#x4E0B;&#x89D2;&#x7684;&#x89D2;&#x70B9;&#x5F00;&#x59CB;&#xFF0C;&#x6309;&#x9006;&#x65F6;&#x9488;&#x7684;&#x987A;&#x5E8F;&#x4F9D;&#x6B21;&#x4E3A; 0&#xFF0C;1&#xFF0C;2&#xFF0C;3&#x3002;&#x5982;&#x4E0B;&#x56FE;&#x6240;&#x793A;&#xFF1A;</p>
<center>
<img src="../assets/rune_detector/4order.png" alt="&#x56DB;&#x70B9;&#x987A;&#x5E8F;&#xFF08;&#x624B;&#x753B;&#xFF09;">
</center>
<p>&#x5728;&#x8FD9;&#x4E2A;&#x6B65;&#x9AA4;&#x4E2D;&#xFF0C;&#x9996;&#x5148;&#x627E;&#x5230;&#x79BB; R &#x6807;&#x6700;&#x8FD1;&#x7684;&#x4E24;&#x4E2A;&#x70B9;&#x548C;&#x6700;&#x8FDC;&#x7684;&#x4E24;&#x4E2A;&#x70B9;&#x3002;&#x4E4B;&#x540E;&#xFF0C;&#x5BF9;&#x4E8E;&#x6700;&#x8FD1;&#x7684;&#x4E24;&#x4E2A;&#x70B9;&#xFF0C;&#x5224;&#x65AD;&#x5176;&#x5C5E;&#x4E8E; 0 &#x53F7;&#x70B9;&#x8FD8;&#x662F;&#x5C5E;&#x4E8E; 3 &#x53F7;&#x70B9;&#x3002;&#x82E5;&#x6247;&#x53F6;&#x8FD1;&#x4E4E;&#x6C34;&#x5E73;&#xFF0C;&#x5219;&#x6839;&#x636E;&#x70B9;&#x7684; y &#x5750;&#x6807;&#x8FDB;&#x884C;&#x5224;&#x65AD;&#xFF1B;&#x82E5;&#x6247;&#x53F6;&#x8FD1;&#x4E4E;&#x5782;&#x76F4;&#xFF0C;&#x5219;&#x6839;&#x636E;&#x70B9;&#x7684; x &#x5750;&#x6807;&#x8FDB;&#x884C;&#x5224;&#x65AD;&#x3002;&#x5BF9;&#x4E8E;&#x6700;&#x8FDC;&#x7684;&#x4E24;&#x4E2A;&#x70B9;&#x4E5F;&#x662F;&#x540C;&#x7406;&#xFF0C;&#x786E;&#x5B9A;&#x5176;&#x5C5E;&#x4E8E; 1 &#x53F7;&#x70B9;&#x8FD8;&#x662F; 2 &#x53F7;&#x70B9;&#x3002;&#x5B8C;&#x6210;&#x540E;&#x6309;&#x987A;&#x5E8F;&#x8F93;&#x51FA;&#x56DB;&#x4E2A;&#x70B9;&#x3002;</p>
<h2 class="mume-header" id="%E5%85%AD-%E5%AF%BB%E6%89%BE%E5%BE%85%E5%87%BB%E6%89%93%E4%B8%AD%E5%BF%83">&#x516D;&#x3001;&#x5BFB;&#x627E;&#x5F85;&#x51FB;&#x6253;&#x4E2D;&#x5FC3;</h2>

<h3 class="mume-header" id="61-%E4%BB%BF%E5%B0%84%E5%8F%98%E6%8D%A2">6.1 &#x4EFF;&#x5C04;&#x53D8;&#x6362;</h3>

<p>&#x5C06;&#x4E8C;&#x503C;&#x56FE;&#x50CF;&#x4E2D;&#x5C5E;&#x4E8E;&#x5F85;&#x51FB;&#x6253;&#x6247;&#x53F6;&#x7684;&#x65CB;&#x8F6C;&#x77E9;&#x5F62;&#x7684;&#x533A;&#x57DF;&#x505A;&#x4EFF;&#x5C04;&#x53D8;&#x6362;&#xFF0C;&#x53D8;&#x6362;&#x6210; 150x75 &#x5927;&#x5C0F;&#x7684;&#x56FE;&#x50CF;&#x3002;&#x4EFF;&#x5C04;&#x53D8;&#x6362;&#x9009;&#x53D6; 4 &#x4E2A;&#x89D2;&#x70B9;&#xFF0C;&#x4E0E;&#x53D8;&#x6362;&#x540E; 4 &#x70B9;&#x4F4D;&#x7F6E;&#x7684;&#x5BF9;&#x5E94;&#x5982;&#x4E0B;&#x56FE;&#xFF1A;</p>
<center>
<img src="../assets/rune_detector/warp.png" alt="&#x539F;&#x59CB;&#x56FE;&#x50CF;4&#x70B9;&#x548C;&#x5BF9;&#x5E94;&#x4EFF;&#x5C04;&#x53D8;&#x6362;&#x7684;4&#x70B9;">
</center>
<h3 class="mume-header" id="62-%E5%BC%80%E9%97%AD%E8%BF%90%E7%AE%97%E5%BE%97%E5%88%B0%E4%B8%AD%E5%BF%83">6.2 &#x5F00;&#x95ED;&#x8FD0;&#x7B97;&#xFF0C;&#x5F97;&#x5230;&#x4E2D;&#x5FC3;</h3>

<p>&#x5728;&#x4EFF;&#x5C04;&#x53D8;&#x6362;&#x540E;&#x7684;&#x56FE;&#x50CF;&#xFF0C;&#x4E0A;&#x4E0B;&#x53F3;&#x4FA7;&#x6DFB;&#x52A0;&#x7A7A;&#x767D;&#xFF0C;&#x9632;&#x6B62;&#x540E;&#x7EED;&#x5F62;&#x6001;&#x5B66;&#x64CD;&#x4F5C;&#x8D8A;&#x754C;&#x800C;&#x4F7F;&#x4E2D;&#x5FC3;&#x504F;&#x79BB;</p>
<p>&#x9996;&#x5148;&#x8FDB;&#x884C;&#x95ED;&#x8FD0;&#x7B97;&#xFF0C;&#x5C06;&#x6247;&#x53F6;&#x7684;&#x4E2D;&#x5FC3;&#x533A;&#x57DF;&#x586B;&#x5145;&#xFF1B;&#x4E4B;&#x540E;&#x8FDB;&#x884C;&#x5F00;&#x8FD0;&#x7B97;&#xFF0C;&#x5C06;&#x6247;&#x81C2;&#x533A;&#x57DF;&#x8FC7;&#x6EE4;&#x6389;&#xFF0C;&#x53EA;&#x4FDD;&#x7559;&#x5F85;&#x51FB;&#x6253;&#x533A;&#x57DF;&#x3002;</p>
<center>
<img src="../assets/rune_detector/ori_roi.png" width="30%">
<img src="../assets/rune_detector/after_close.png" width="30%">
<img src="../assets/rune_detector/after_open.png" width="30%">
<p>&#x4ECE;&#x5DE6;&#x5230;&#x53F3;&#x4F9D;&#x6B21;&#x4E3A;&#xFF1A;&#x4EFF;&#x5C04;&#x53D8;&#x6362;&#x540E;&#x7684;&#x539F;&#x59CB;&#x56FE;&#x50CF;&#xFF08;&#x6DFB;&#x52A0;&#x7A7A;&#x767D;&#x540E;&#x7684;&#xFF09;&#x3001;&#x95ED;&#x8FD0;&#x7B97;&#x540E;&#x3001;&#x5F00;&#x8FD0;&#x7B97;&#x540E;</p>
</center>
<p>&#x4E4B;&#x540E;&#x53EF;&#x4EE5;&#x5F97;&#x5230;&#x5F85;&#x51FB;&#x6253;&#x533A;&#x57DF;&#x7684;&#x4E2D;&#x5FC3;&#x5728;&#x4EFF;&#x5C04;&#x53D8;&#x6362;&#x540E;&#x7684;&#x56FE;&#x50CF;&#x4E2D;&#x7684;&#x4F4D;&#x7F6E;&#x3002;&#x518D;&#x7136;&#x540E;&#x9700;&#x8981;&#x5BF9;&#x8FD9;&#x4E2A;&#x4E2D;&#x5FC3;&#x70B9;&#x505A;&#x9006;&#x53D8;&#x6362;&#xFF0C;&#x5F97;&#x5230;&#x8BE5;&#x70B9;&#x5728;&#x539F;&#x56FE;&#x4E2D;&#x7684;&#x4F4D;&#x7F6E;&#x3002;</p>
<h2 class="mume-header" id="%E4%B8%83-%E8%AE%A1%E7%AE%97%E5%BE%85%E5%87%BB%E6%89%93%E8%A3%85%E7%94%B2%E6%9D%BF%E7%9A%84%E5%9B%9B%E4%B8%AA%E8%A7%92%E7%82%B9">&#x4E03;&#x3001;&#x8BA1;&#x7B97;&#x5F85;&#x51FB;&#x6253;&#x88C5;&#x7532;&#x677F;&#x7684;&#x56DB;&#x4E2A;&#x89D2;&#x70B9;</h2>

<p>&#x6839;&#x636E;&#x4E2D;&#x5FC3;&#x4F4D;&#x7F6E;&#xFF0C;&#x8BA1;&#x7B97;&#x51FA;&#x5F85;&#x51FB;&#x6253;&#x88C5;&#x7532;&#x677F;&#x7684;&#x56DB;&#x4E2A;&#x89D2;&#x70B9;&#xFF0C;&#x5E76;&#x6309;&#x7167;&#x4E0E; 5.2 &#x4E2D;&#x76F8;&#x540C;&#x7684;&#x987A;&#x5E8F;&#x7F16;&#x53F7;&#xFF0C;&#x5E76;&#x5C06; R &#x6807;&#x653E;&#x5728;&#x6700;&#x524D;&#x9762;&#x3002;&#x5982;&#x4E0B;&#x56FE;&#xFF1A;</p>
<img src="../assets/rune_detector/final_detector.png" alt="&#x8BC6;&#x522B;&#x90E8;&#x5206;&#x6700;&#x7EC8;&#x7684;&#x6548;&#x679C;&#x56FE;">
<p>&#x4E4B;&#x540E;&#x5C06;&#x5F97;&#x5230;&#x7684; 5 &#x4E2A;&#x70B9;&#x53D1;&#x9001;&#x7ED9;&#x9884;&#x6D4B;&#x548C;&#x89E3;&#x7B97;&#x8282;&#x70B9;&#x3002;</p>
<h2 class="mume-header" id="%E5%90%8E%E7%BB%AD%E4%BC%98%E5%8C%96%E6%96%B9%E5%90%91">&#x540E;&#x7EED;&#x4F18;&#x5316;&#x65B9;&#x5411;</h2>

<ul>
<li>&#x4F7F;&#x7528;&#x6A21;&#x677F;&#x5339;&#x914D;&#x8BC6;&#x522B;&#x5F85;&#x51FB;&#x6253;&#x533A;&#x57DF;&#x3002;&#x622A;&#x53D6;&#x4E8C;&#x503C;&#x5316;&#x7684;&#x533A;&#x57DF;&#x540E;&#xFF0C;&#x76F4;&#x63A5;&#x4F7F;&#x7528;&#x6A21;&#x677F;&#x6765;&#x786E;&#x5B9A;&#x5F85;&#x51FB;&#x6253;&#x88C5;&#x7532;&#x677F;&#x7684;&#x4E2D;&#x5FC3;</li>
<li>and so on</li>
</ul>

      </div>
      
      
    
    
    
    
    
    
    
    
  
    </body></html>